Integer programming formulations for three sequential discrete competitive location problems with foresight
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DOI: 10.1016/j.ejor.2017.08.041
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- Hakimi, S. Louis, 1983. "On locating new facilities in a competitive environment," European Journal of Operational Research, Elsevier, vol. 12(1), pages 29-35, January.
- D Serra & S Ratick & C ReVelle, 1996.
"The Maximum Capture Problem with Uncertainty,"
Environment and Planning B, , vol. 23(1), pages 49-59, February.
- Daniel Serra & Samuel Ratick & Charles Revelle, 1994. "The maximum capture problem with uncertainty," Economics Working Papers 74, Department of Economics and Business, Universitat Pompeu Fabra.
- T L Friesz & T Miller & R L Tobin, 1988. "Algorithms for Spatially Competitive Network Facility-Location," Environment and Planning B, , vol. 15(2), pages 191-203, June.
- Eiselt, H. A. & Laporte, G., 1989. "Competitive spatial models," European Journal of Operational Research, Elsevier, vol. 39(3), pages 231-242, April.
- Roboredo, Marcos Costa & Pessoa, Artur Alves, 2013. "A branch-and-cut algorithm for the discrete (r∣p)-centroid problem," European Journal of Operational Research, Elsevier, vol. 224(1), pages 101-109.
- Richard Church & Charles R. Velle, 1974. "The Maximal Covering Location Problem," Papers in Regional Science, Wiley Blackwell, vol. 32(1), pages 101-118, January.
- Kress, Dominik & Pesch, Erwin, 2012. "Sequential competitive location on networks," European Journal of Operational Research, Elsevier, vol. 217(3), pages 483-499.
- O'Hanley, Jesse R. & Church, Richard L., 2011. "Designing robust coverage networks to hedge against worst-case facility losses," European Journal of Operational Research, Elsevier, vol. 209(1), pages 23-36, February.
- Eiselt, H. A. & Laporte, Gilbert, 1997. "Sequential location problems," European Journal of Operational Research, Elsevier, vol. 96(2), pages 217-231, January.
- H. A. Eiselt & Gilbert Laporte & Jacques-François Thisse, 1993.
"Competitive Location Models: A Framework and Bibliography,"
Transportation Science, INFORMS, vol. 27(1), pages 44-54, February.
- EISELT, H.A. & LAPORTE, Gilbert & THISSE, Jacques-François, 1993. "Competitive Location Models: A Framework and Bibliography," LIDAM Reprints CORE 1036, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Noltemeier, H. & Spoerhase, J. & Wirth, H.-C., 2007. "Multiple voting location and single voting location on trees," European Journal of Operational Research, Elsevier, vol. 181(2), pages 654-667, September.
- James T. Moore & Jonathan F. Bard, 1990. "The Mixed Integer Linear Bilevel Programming Problem," Operations Research, INFORMS, vol. 38(5), pages 911-921, October.
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- Marianov, Vladimir & Eiselt, H.A. & Lüer-Villagra, Armin, 2018. "Effects of multipurpose shopping trips on retail store location in a duopoly," European Journal of Operational Research, Elsevier, vol. 269(2), pages 782-792.
- Xiang Li & Tianyu Zhang & Liang Wang & Hongguang Ma & Xiande Zhao, 2022. "A minimax regret model for the leader–follower facility location problem," Annals of Operations Research, Springer, vol. 309(2), pages 861-882, February.
- Dolores R. Santos-Peñate & Clara M. Campos-Rodríguez & José A. Moreno-Pérez, 2020. "A Kernel Search Matheuristic to Solve The Discrete Leader-Follower Location Problem," Networks and Spatial Economics, Springer, vol. 20(1), pages 73-98, March.
- Yun Hui Lin & Qingyun Tian & Yanlu Zhao, 2022. "Locating facilities under competition and market expansion: Formulation, optimization, and implications," Production and Operations Management, Production and Operations Management Society, vol. 31(7), pages 3021-3042, July.
- Arbib, Claudio & Pınar, Mustafa Ç. & Tonelli, Matteo, 2020. "Competitive location and pricing on a line with metric transportation costs," European Journal of Operational Research, Elsevier, vol. 282(1), pages 188-200.
- Lin, Yun Hui & Tian, Qingyun, 2021. "Branch-and-cut approach based on generalized benders decomposition for facility location with limited choice rule," European Journal of Operational Research, Elsevier, vol. 293(1), pages 109-119.
- Lin, Yun Hui & Wang, Yuan & Lee, Loo Hay & Chew, Ek Peng, 2022. "Omnichannel facility location and fulfillment optimization," Transportation Research Part B: Methodological, Elsevier, vol. 163(C), pages 187-209.
- Lin, Yunhui & Wang, Yuan & Lee, Loo Hay & Chew, Ek Peng, 2022. "Profit-maximizing parcel locker location problem under threshold Luce model," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 157(C).
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Keywords
Combinatorial optimization; Maximal covering location problem; Competitive location; Integer programming; Stackelberg problem;All these keywords.
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